Kulkarni showed that, if g is greater than three, any periodic map on the oriented surface of genus g with period more than or equal to 4g is conjugate to a power of one of two types of periodic maps. In this paper, we show that, if g is greater than 12, any periodic map on the surface with period more than or equal to 3g is conjugate to a power of one of four types of periodic maps.
展开▼
